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Examoogle • User • info@examoogle.com • EE-2024-8821
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5% of a number is what percentage of 4% of the same number?
125%
80%
55.55%
27.78%
125%
Since the base number x is common in both the numerator and denominator, it cancels out immediately. Just calculate (5/4)×100.
A number x. We need to find 5% of x as a percentage of 4% of x.
Required Percentage=(4% of x5% of x)×100
Since the base number x is common in both the numerator and denominator, it cancels out immediately. Just calculate (5/4)×100.
Students often try to assume a random number like 100, which is correct, but mistakenly calculate 5% of x minus 4% of x instead of the ratio, leading to 1%.
Define the expression
Let the number be x. We need to find what percentage 5% of x is of 4% of x.
4% of x5% of x×100
Substitute and Simplify
Express percentages as decimals: 5%=0.05 and 4%=0.04. The x values cancel out.
0.04x0.05x=0.040.05=45
Convert to Percentage
Multiply the fraction by 100 to get the final percentage value.
45×100=1.25×100=125%
A is correct because the ratio of 5% to 4% is 1.25, which when converted to a percentage is 125%.
This logic of 'variable cancellation' is identical to solving questions in Data Interpretation (DI) where base values cancel out in ratios.